Finally, we need to account for the evolution of the SM chemical potentials through the EWPT, especially, from the onset of the phase transition at \(T \simeq 160\,\textrm {GeV}\)  [1]}, when the Higgs field begins to develop a nonzero vacuum expectation value, to the freeze-out of the weak sphaleron processes at \(T \simeq 135\,\textrm {GeV}\)  [2]}.
The chemical transport in this temperature regime, i.e., the electroweak-broken phase, differs in several aspects from the chemical transport in the electroweak-symmetric phase [3]}:
Weak isospin symmetry is spontaneously broken, the global hypercharge is no longer conserved, and the chemical potential of the Higgs boson vanishes.
Instead, the global electric charge is conserved (\(\bar{\mu }_Q = 0\) ), and the \(W\)  boson is allowed to pick up a nonzero chemical potential.
The vanishing chemical potential of the Higgs boson implies in particular that we no longer need to distinguish between the chemical potentials of left- and right-handed Weyl fermions.
Instead, all fermions except for the three SM neutrino species correspond to massive Dirac fermions whose left- and right-handed components possess the same chemical potential.
Meanwhile, the three SM neutrino species can still be treated as massless left-handed Weyl fermions; neutrino oscillations caused by their tiny Majorana masses will only begin to affect their chemical potentials at much later times [4]}, [5]}.
Accounting for these aspects of the electroweak-broken phase, we are able to write down a system of linear equations, consisting of four charge constraints (for \(\Delta _\alpha \)  and \(Q\) ) and nine equilibrium conditions, that is solved by
\(\begin{pmatrix}\mu _e \\ \mu _\mu \\ \mu _\tau \\ \mu _{\nu _e} \\ \mu _{\nu _\mu } \\ \mu _{\nu _\tau } \\ \mu _u \\ \mu _c \\ \mu _t \\ \mu _d \\ \mu _s \\ \mu _b \\ \mu _{W^+}\end{pmatrix}=\begin{pmatrix}-{95}{333} & {16}{333} & {16}{333} \\{16}{333} & -{95}{333} & {16}{333} \\{16}{333} & {16}{333} & -{95}{333} \\-{107}{333} & {4}{333} & {4}{333} \\{4}{333} & -{107}{333} & {4}{333} \\{4}{333} & {4}{333} & -{107}{333} \\{1}{111} & {1}{111} & {1}{111} \\{1}{111} & {1}{111} & {1}{111} \\{1}{111} & {1}{111} & {1}{111} \\{5}{111} & {5}{111} & {5}{111} \\{5}{111} & {5}{111} & {5}{111} \\{5}{111} & {5}{111} & {5}{111} \\-{4}{111} & -{4}{111} & -{4}{111}\end{pmatrix}\begin{pmatrix}\bar{\mu }_{\Delta _e} \\ \bar{\mu }_{\Delta _\mu } \\\bar{\mu }_{\Delta _\tau }\end{pmatrix} \,,\) 
